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R. Bunting, T. Hill (1940)
Oral Pathology, 2nd Edition
BOOK REVIEWS 101 7. Solomon, B.: A new proof of the closure theorem for integral currents, Indiana Univ. Math. J., 33/3, (1984), 393-418. 8. White, B.: A new proof of the compactness theorem for integral currents, Comment. Math. Helv., 64 (1989), 207-220. B. KIRCHHEIM Stefan Banach Mathematics Centre, Warsaw, Poland K. Bicheler, J.-B. Gravereaux, and J. Jacod: Malliavin Calculus for Processes with Jumps (Stochastic Monographs Vol. 2), Gordon and Breach, 1987. The core of the theory recently designated Malliavin calculus is Malliavin's own success in proving some of H6rmander's regularity results via probabilistic reason- ings. The argument is this: A semigroup on R ~, with a second-order differential operator as its generator is considered. Under some standard assumptions for the coefficients of this operator, the elements of the semigroup become integral operators whose kernels are conditional probability distributions of a family of random variables (RVS). Being parametrized by ~+, this family forms a stochastic process which is a strong solution of an Ito stochastic differential equation (SDE), driven by time and the Brownian motion. Thus, the problem, which is very important in 'pure' analysis, whether all kernels of the semigroup possess a density is equivalent to the ('stochastic') problem
Acta Applicandae Mathematicae – Springer Journals
Published: May 1, 2004
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